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52006696320 = 273561943759
BaseRepresentation
bin110000011011110101…
…110011010110000000
311222020102202220110210
4300123311303112000
51323002203240240
635520323554120
73520526424225
oct603365632600
9158212686423
1052006696320
1120068473767
12a0b4b2b940
134b9a71ccb7
14273504d94c
151545b2b780
hexc1bd73580

52006696320 has 128 divisors (see below), whose sum is σ = 166042944000. Its totient is φ = 13845731328.

The previous prime is 52006696289. The next prime is 52006696321. The reversal of 52006696320 is 2369660025.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52006696321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1166601 + ... + 1210359.

It is an arithmetic number, because the mean of its divisors is an integer number (1297210500).

Almost surely, 252006696320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52006696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83021472000).

52006696320 is an abundant number, since it is smaller than the sum of its proper divisors (114036247680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52006696320 is a wasteful number, since it uses less digits than its factorization.

52006696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44400 (or 44388 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 52006696320 in words is "fifty-two billion, six million, six hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 619 640 960 1238 1857 1920 2476 3095 3714 4952 6190 7428 9285 9904 12380 14856 18570 19808 24760 29712 37140 39616 43759 49520 59424 74280 79232 87518 99040 118848 131277 148560 175036 198080 218795 237696 262554 297120 350072 396160 437590 525108 594240 656385 700144 875180 1050216 1188480 1312770 1400288 1750360 2100432 2625540 2800576 3500720 4200864 5251080 5601152 7001440 8401728 10502160 14002880 16803456 21004320 27086821 28005760 42008640 54173642 81260463 84017280 108347284 135434105 162520926 216694568 270868210 325041852 406302315 433389136 541736420 650083704 812604630 866778272 1083472840 1300167408 1625209260 1733556544 2166945680 2600334816 3250418520 3467113088 4333891360 5200669632 6500837040 8667782720 10401339264 13001674080 17335565440 26003348160 52006696320